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arXiv · 1706.05138

Quantum lattice Boltzmann study of random-mass Dirac fermions in one dimension

Christian B. Mendl·Silvia Palpacelli·Alex Kamenev·Sauro Succi
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Abstract

We study the time evolution of quenched random-mass Dirac fermions in one dimension by quantum lattice Boltzmann simulations. For nonzero noise strength, the diffusion of an initial wave packet stops after a finite time interval, reminiscent of Anderson localization. However, instead of exponential localization we find algebraically decaying tails in the disorder-averaged density distribution. These qualitatively match $\propto x^{-3/2}$ decay, which has been predicted by analytic calculations based on zero-energy solutions of the Dirac equation.

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Christian B. Mendl, Silvia Palpacelli, Alex Kamenev, Sauro Succi. 2017-06-16. Quantum lattice Boltzmann study of random-mass Dirac fermions in one dimension. https://doi.org/10.1007/978-3-319-72374-7_26

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